Answer:
15 s
Explanation:
The arrow is a projectile in free fall. Use kinematics to find the time it takes the arrow to land.
Given in the vertical direction:
s = 0 m
u = 83 sin 62° = 73.3 m/s
a = -9.8 m/s²
Find: t
s = ut + ½ at²
0 = 73.3 t + ½ (-9.8) t²
0 = 73.3 t − 4.9 t²
0 = 73.3 − 4.9 t
t = 15
It takes the arrow 15 seconds to land.
